Speakers

Rocío González-Díaz

Topology Tools for Explainable and Green Artificial Intelligence (topology inside REXASI-PRO)

  • Context: Green and Explainable artificial intelligence (REXASI-PRO)
  • Computational topology tools: Persistent homology, barcodes, distance bottleneck, simplicial maps, Persistence modules, morphisms between persistence modules
  • Partial matchings between barcodes
  • Simplicial maps neural networks
  • Practice: Google Colab will be used
  • First day lectures here.
  • Second day lectures here.
  • Third day lectures here.
  • Fourth day lectures here.

Gabriela Jeronimo

Sparse polynomial systems

  • The BKK (Bernstein-Khovanskii-Kushnirenko) bound
  • Deformation algorithms to compute isolated zeros
  • Affine varieties defined by sparse polynomial systems
  • Algorithmic solving of sparse systems in affine space
  • Sparse effective Nullstellensatz